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Finding the Fourth Proportional to 5,818.74, 8,734.25 and 3,628.97

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Solution

The fourth proportional to 5,818.74, 8,734.25 and 3,628.97 is: 5,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818.74 : 8,734.25 = 3,628.97 : x
  2. Step 2: Convert to fraction form
    5,818.74/8,734.25 = 3,628.97/x
  3. Step 3: Cross multiply
    5,818.74x = 8,734.25 × 3,628.97
  4. Step 4: Simplify right side
    5,818.74x = 31,696,331.22
  5. Step 5: Solve for x
    x = 31,696,331.22/5,818.74
  6. Step 6: Final answer
    x = 5,447.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.